Polar coding method, apparatus, and device

ABSTRACT

Embodiments of this application disclose a polar coding method, apparatus, and device, so as to reduce storage overheads of a system. A sequence for polar coding is obtained based on a length M of a target polar code, wherein the sequence comprises L sequence numbers, ordering of the L sequence numbers in the sequence is the same as ordering of the L sequence numbers in a maximum mother code sequence, wherein the maximum mother code sequence is obtained by sorting N sequence numbers of N polarized channels in ascending order or descending order of reliability metrics, wherein L and N are integer power of 2, M is smaller than or equal to L, L is smaller than or equal to N.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No.17/132,566, filed on Dec. 23, 2020, which is a continuation of U.S.patent application Ser. No. 16/295,151, filed on Mar. 7, 2019, now U.S.Pat. No. 10,892,851, which is a continuation of U.S. patent applicationSer. No. 16/110,873, filed on Aug. 23, 2018, now U.S. Pat. No.10,326,555, which is a continuation of International Application No.PCT/CN2017/091675, filed on Jul. 4, 2017, which claims priority toChinese Patent Application No. 201610664987.6, filed on Aug. 11, 2016.All of the afore-mentioned patent applications are hereby incorporatedby reference in their entireties.

TECHNICAL FIELD

This application relates to the field of channel coding, and morespecifically, to a polar coding method, apparatus, and device.

BACKGROUND

In a communications system, channel coding is usually used to improvedata transmission reliability and ensure communication quality. It hasbeen theoretically proved that polar (Polar) codes are a coding schemethat can achieve a Shannon capacity with easy coding and decodingmethods. A polar code is a linear block code. A generator matrix of thepolar code is G_(N), and a coding process of the polar code is x₁^(N)=u₁ ^(N)·G_(N). u₁ ^(N)=(u₁, u₂, . . . , u_(N)) is a binary rowvector, G_(N)=F₂ ^(⊗(log) ² ^((N))), and a code length N=2^(n), where nis a positive integer.

${F_{2} = \begin{bmatrix}1 & 0 \\1 & 1\end{bmatrix}},$

and F₂ ^(⊗(log) ² ^((N))) is a Kronecker product of F₂ and is defined asF₂ ^(⊗(log) ² ^((N)))=F⊗F₂ ^(⊗(log) ² ^((N)−1).

In a polar code coding process, one portion of bits in u₁ ^(N) are usedto carry information and are referred to as information bits. A set ofsequence numbers of the information bits is denoted by A. The otherportion of bits are set to fixed values that are pre-agreed by a receiveend and a transmit end and are referred to as frozen bits. A set ofsequence numbers of the frozen bits is represented by a complementaryset Ac of A. In general, these frozen bits are set to 0s. Actually, afrozen bit sequence may be randomly set provided that the receive endand the transmit end have a pre-agreement. Therefore, a polar code codedbit sequence may be obtained in the following method: x₁^(N)=u_(A)·G_(N)(A). Herein, u_(A) is a set of the information bits inu₁ ^(N) and is a K-length row vector, meaning |A|=K. |⋅|=K represents aquantity of elements in the set; to be specific, K represents a quantityof elements in the set A. G_(N)(A) is a sub-matrix obtained by usingrows, corresponding to indexes in the set A, in the matrix G_(N).G_(N)(A) is a K×N matrix. When a CRC-aided improved SC decodingalgorithm is used, polar codes can obtain better FER performance thanLDPC and Turbo codes.

A key of polar code coding lies in determining a code length M and theinformation bit set A. In existing polar code coding solutions, theinformation bit set A cannot be determined through simple calculation.Therefore, the information bit set A is generally determined by offlinecalculation and storage. To be specific, an encoder and a decoderpre-store a relationship table of correspondences between a plurality ofmother code sequences and code lengths and/or bit rates. During polarcode coding, a corresponding mother code sequence is selected based on arequired bit rate and/or code length.

A large quantity of mother code sequences need to be stored to supportall combinations of code lengths and bit rates required by a system.Therefore, storage overheads of the system are extremely high.

SUMMARY

This application provides a polar coding method, apparatus, and device,so as to reduce storage overheads of a system.

According to a first aspect, this application provides a polar codingmethod. The method includes: obtaining reliability metrics of Npolarized channels, where N=2^(n), and n and N are positive integers;obtaining a maximum mother code sequence by sort sequence numbers of theN polarized channels in ascending order or descending order of themetrics, where the maximum mother code sequence is characterized inthat, if a first sequence whose code length is Z is read from themaximum mother code sequence, ordering, in the first sequence, of Zsequence numbers included in the first sequence is the same as ordering,in the maximum mother code sequence, of the Z sequence numbers, whereZ=2^(z), z≤n, and z is a positive integer; and storing the maximummother code sequence.

It should be understood that the maximum mother code sequence is asequence in a maximum length that can be supported by the system, andthe length of the maximum mother code sequence N=₂ _(n) , where n is apositive integer. The first sequence is a sequence that is read from themaximum mother code sequence and that is in any code length (with amaximum length N).

In the prior art, a system needs to store one sequence for each mothercode length In addition, under a same mother code length, different bitrates correspond to different sequences; therefore, the system needs tostore sequences corresponding to all combinations of code lengths andbit rates. With such a storage method, storage overheads of a hardwaresystem are extremely high.

In embodiments of this application, only the maximum mother codesequence that can be supported by the system is stored (in other words,only one sequence is stored). During polar code coding, a mother codesequence in a required length is read from the maximum mother codesequence, and then rate matching and coding are performed based on apolar code puncturing method. A quantity of mother code sequences thatneed to be stored by the system is less than that in the prior art, sothat storage overheads of the system can be reduced.

In a possible implementation, the method further includes: determining asecond sequence from the maximum mother code sequence based on a codelength M of a target polar code, where the second sequence is used as amother code sequence when coding into the target polar code isperformed, the second sequence includes L sequence numbers, andordering, in the second sequence, of the L sequence numbers is the sameas ordering, in the maximum mother code sequence, of the L sequencenumbers, where M≤L≤N, and M and L are positive integers.

It should be understood that the second sequence is meant for a polarcode that needs to be obtained (that is, the target polar code). For thegiven code length M of the target polar code, a sequence that is used asa mother code sequence when coding into the target polar code isperformed and that is read from the maximum mother code sequence is thesecond sequence.

It should be further understood that L=2^(b), b≤n, and b is a positiveinteger.

In a possible implementation, the determining a second sequence from themaximum mother code sequence based on a code length M of a target polarcode includes: determining a mother code length L of the target polarcode based on the code length M of the target polar code; and obtainingthe second sequence by successively reading, from the maximum mothercode sequence, sequence numbers that are less than L.

It should be noted that, in the embodiments of this application,sequence numbers of the polarized channels start with 0, and therefore asequence number range of the N polarized channels is from 0 to N−1.

It can be understood that the foregoing first sequence is in general asequence read from the maximum mother code sequence. Herein, the secondsequence is a sequence that is read from the maximum mother codesequence and that is used as the mother code of the target polar codewhen the code length of the target polar code is M.

In other words, during polar coding, the mother code sequence in therequired length (that is, the second sequence) is first read from themaximum mother code sequence, and then polar coding is performed onto-be-coded bits by using the second sequence.

In a possible implementation, the determining a mother code length L ofthe target polar code based on the code length M of the target polarcode includes: determining L=M when M=2^(m); and L=2^(┌log) ² ^(M┐) whenM≠2^(m), where m is a positive integer, and the symbol ┌ ┐ representsrounding up.

In a possible implementation, the storing the maximum mother codesequence includes: calculating, based on the length of the maximummother code sequence and a preset rule, a quantity S of bits that needto be used to represent a sequence number in the maximum mother codesequence; calculating a maximum sequence length Q that is represented by(S−1) bits; determining a sequence obtained by successively sortingsequence numbers that are less than Q and that are in the maximum mothercode sequence, as a base sequence; grouping sequence numbers that aregreater than or equal to Q and that are in the maximum mother codesequence into

$\left( \frac{N - Q}{Q} \right)$

offset sequences, where a quantity of sequence numbers included in eachoffset sequence is the same as a quantity of sequence numbers includedin the base sequence, and an i^(th) sequence number in each offsetsequence corresponds to an i^(th) sequence number in the base sequence,where 0≤i≤Q−1, and i is a nonnegative integer; storing, by using S bits,each sequence number that belongs to the base sequence and that is inthe maximum mother code sequence, where the S bits include a first bitand a plurality of second bits, the first bit is used to indicate that asequence number stored at a current location belongs to the basesequence, and the plurality of second bits are used to indicate a valueof the sequence number stored at the current location; and storing, byusing S bits, each sequence number that belongs to an offset sequenceand that is in the maximum mother code sequence, where the S bitsinclude a third bit and a plurality of fourth bits, the third bit isused to indicate that a sequence number stored at a current locationbelongs to an offset sequence, the plurality of fourth bits are used toindicate an offset multiplier of the sequence number stored at thecurrent location with respect to a sequence number stored at acorresponding location in the base sequence, the offset multiplier is aresult of dividing a difference between the sequence number stored atthe current location and the sequence number stored at the correspondinglocation in the base sequence by a length of the base sequence, and thefirst bit is different from the third bit.

It should be noted that, in the embodiments of this application, whenthe quantity S of bits that need to be used to store the sequence numberin the maximum mother code sequence is determined, the quantity S iscalculated based on the length N of the maximum mother code sequence andthe preset rule. In the embodiments of this application, the preset rulemay be understood as an equation N=2^(2S−2) pre-configured by thesystem. N is the length of the maximum mother code sequence, S is thequantity of bits used to represent each sequence number in the maximummother code sequence. Based on the foregoing equation, for a maximummother code sequence in any length, a quantity of bits that need to beused for storage using the compressed storage method provided in theembodiments of this application can be calculated.

Therefore, on the basis that the storage overheads of the system can bereduced because the system needs to store only one maximum mother codesequence, using the compressed storage method provided in theembodiments of this application to store the maximum mother codesequence can reduce the quantity of bits that are used to represent eachsequence number in the maximum mother code sequence, so that storageoverheads of the system can be further reduced.

In a possible implementation, the obtaining reliability metrics of Npolarized channels includes:

obtaining the reliability metrics of the N polarized channels based onthe following equation:

${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4}j}}}},$

where 0≤i≤N−1, N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . .B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) isthe most significant bit, B₀ is the least significant bit, B_(j)∈{0, 1},and W_(i) is used to represent a reliability of an i^(th) polarizedchannel.

It should be understood that a polarization weight may be used as aparameter for measuring a reliability of a polarized channel. Therefore,in the embodiments of this application, when the reliabilities of thepolarized channels are calculated, the foregoing formula may beoptionally used to calculate polarization weights of the N polarizedchannels. A larger polarization weight of a polarized channel representsa higher reliability of the polarized channel.

In a possible implementation, the obtaining reliability metrics of Npolarized channels includes:

obtaining error probabilities of the N polarized channels by usingdensity evolution or Gaussian approximation. A lower error probabilityof a polarized channel represents a higher reliability of the polarizedchannel. The polarized channels are sorted based on the errorprobabilities, and in an sorted sequence, order of a sequence number ofa polarized channel that fails to present the characteristic that themaximum mother code sequence in the embodiments of this application issupposed to have, is adjusted, so as to obtain the maximum mother codesequence in the embodiments of this application.

In a possible implementation, the method further includes: using thesecond sequence as a mother code sequence of the target polar code, andobtaining the target polar code according to a shortening method.

It should be noted that, shortening herein is one of polar codepuncturing schemes.

According to a second aspect, this application provides a polar codingapparatus, configured to perform the method in any one of the firstaspect or the possible implementations of the first aspect.Specifically, the apparatus includes units configured to perform themethod in any one of the first aspect or the possible implementations ofthe first aspect.

According to a third aspect, this application provides a polar codingdevice. Specifically, the device includes: a memory, a processor, and anetwork interface. The memory, the processor, and the network interfacemay be connected to each other by using a bus system. The memory isconfigured to store an instruction, the processor is configured toexecute the instruction stored in the memory, and when the instructionis executed, the processor performs, by using the network interface, themethod in any one of the first aspect or the possible implementations ofthe first aspect.

According to a fourth aspect, this application provides a computerreadable medium, configured to store a computer program. The computerprogram includes an instruction for performing the method in any one ofthe first aspect or the possible implementations of the first aspect.

According to a fifth aspect, this application provides a chip (or a chipsystem), including a memory and a processor. The memory is configured tostore a computer program, the processor is configured to call thecomputer program from the memory and run the computer program, to enablea communications device provided with the chip to perform the method inany one of the first aspect or the possible implementations of the firstaspect.

It should be understood that the communications device herein may be theapparatus described in any one of the second aspect or the possibleimplementation of the second aspect.

According to a sixth aspect, this application provides a polar codingmethod. The method includes: obtaining a maximum mother code sequence,where the maximum mother code sequence is characterized in that, if afirst sequence whose code length is Z is read from the maximum mothercode sequence, ordering, in the first sequence, of Z sequence numbersincluded in the first sequence is the same as ordering, in the maximummother code sequence, of the Z sequence numbers, where Z=2^(z), z≤n, andz is a positive integer; and performing polar coding by using themaximum mother code sequence.

In a possible implementation, the performing polar coding by using themaximum mother code sequence includes: determining a second sequencefrom the maximum mother code sequence based on a code length M of atarget polar code, where the second sequence is used as a mother codesequence when coding into the target polar code is performed, the secondsequence includes L sequence numbers, and ordering, in the secondsequence, of the L sequence numbers is the same as ordering, in themaximum mother code sequence, of the L sequence numbers, where M≤L≤N,and M and L are positive integers; and performing polar coding onto-be-coded bits based on the second sequence.

In a possible implementation, the method further includes: obtainingreliability metrics of N polarized channels based on the followingequation:

${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4}j}}}},$

where 0≤i≤N−1, N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . .B₀, B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is themost significant bit, B₀ is the least significant bit, B_(j)∈{0,1},W_(i) is used to represent a reliability of an i^(th) polarized channel,and N equals a length of the maximum mother code sequence; anddetermining the maximum mother code sequence based on the reliabilitymetrics of the N polarized channels.

In the embodiments of this application, the system stores only themaximum mother code sequence that can be supported (in other words, onesequence is stored), and during polar code coding, the mother codesequence in the required length is then read from the maximum mothercode sequence, so that the storage overheads of the system can bereduced.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 is a schematic flowchart of a polar coding method 100 accordingto an embodiment of this application;

FIG. 2 is a schematic diagram of reading a sequence in any code lengthfrom a maximum mother code sequence according to an embodiment of thisapplication;

FIG. 3 is a storage form of a maximum mother code sequence according toan embodiment of this application;

FIG. 4 is a schematic diagram of storing a maximum mother code sequencein a direct storage mode:

FIG. 5 is another storage form of a maximum mother code sequenceaccording to an embodiment of this application;

FIG. 6 is a schematic block diagram of a polar coding apparatusaccording to an embodiment of this application; and

FIG. 7 is a schematic structural diagram of a polar coding deviceaccording to an embodiment of this application.

DESCRIPTION OF EMBODIMENTS

The following describes the technical solutions of embodiments in thisapplication with reference to accompanying drawings.

The embodiments of this application may be applied to variouscommunications systems, such as a Global System for MobileCommunications (Global System for Mobile Communications, GSM) system, aCode Division Multiple Access (Code Division Multiple Access, CDMA)system, a Wideband Code Division Multiple Access (Wideband Code DivisionMultiple Access, WCDMA) system, a General Packet Radio Service (GeneralPacket Radio Service, GPRS) system, a Long Term Evolution (Long TermEvolution, LTE) system, an LTE frequency division duplex (FrequencyDivision Duplex, FDD) system, an LTE time division duplex (Time DivisionDuplex, TDD) system, and a Universal Mobile Telecommunications System(Universal Mobile Telecommunications System. UMTS). Any information ordata coded by a base station or a terminal in the foregoing systems byusing a conventional Turbo code or low density parity check code (LowDensity Parity Check Code, LDPC) may be coded by using a polar code inthe embodiments.

The base station may be a device configured to communicate with aterminal device. For example, the base station may be a base station(Base Transceiver Station, BTS) in a GSM or CDMA system, or may be abase station (NodeB, NB) in a WCDMA system, or may be an evolved NodeB(Evolved Node B, eNB or eNodeB) in an LTE system. Alternatively, thebase station may be a relay node, an access point, an in-vehicle device,a wearable device, a network side device on a future 5G network, or thelike. The base station may alternatively be a terminal that functions asa base station in device-to-device (device-to-device D2D) communication.

The terminal may communicate with one or more core networks by using aradio access network (Radio Access Network. RAN). The terminal may beuser equipment (User Equipment, UE), an access terminal, a subscriberunit, a subscriber station, a mobile station, a mobile console, a remotestation, a remote terminal, a mobile device, a user terminal, a wirelesscommunications device, a user agent, a user apparatus, or the like. Theaccess terminal may be a cellular phone, a cordless phone, a SessionInitiation Protocol (Session Initiation Protocol, SIP) phone, a wirelesslocal loop (Wireless Local Loop, WLL) station, a personal digitalassistant (Personal Digital Assistant, PDA), a handheld device orcomputing device having a wireless communications function or anotherprocessing device connected to a wireless modem, an in-vehicle device, awearable device, a terminal device on a future 5G network, or the like.

For ease of understanding, the following describes a polar coding method100 in an embodiment of this application in detail with reference toFIG. 1 to FIG. 5.

FIG. 1 is a schematic flowchart of the polar coding method 100 in thisembodiment of this application. As shown in FIG. 1, the method 100mainly includes steps 101 to 106.

101. A maximum mother code length supported by a system is set to N.

It can be understood that a mother code length of a polar code islimited to 2 to the power of n (n is a positive integer.). Therefore, amaximum mother code sequence length set by the system is N=2^(n), wheren is a positive integer. For example, N=16, 128, 256, 65536, or thelike.

102. A metric set W_(N) is obtained by calculating reliability metricsof polarized channels.

It should be understood that, during polar code coding, a mother codelength is consistent with a quantity of the polarized channels. To bespecific, if the maximum mother code length supported by the system isN, correspondingly, there are N polarized channels.

Specifically, when the reliability metrics of the polarized channels arecalculated, a prior-art method such as density evolution, Gaussianapproximation, or linear fitting may be used. A specific calculationprocess may be the same as that in the prior art. For brevity, detailsare not described herein.

Optionally, when the reliabilities of the polarized channels arecalculated, a parameter such as an error probability, a channelcapacity, or a polarization weight may be used as a parameter formeasuring the reliabilities of the polarized channels, or anotherparameter that can measure the polarized channels may be used. This isnot particularly limited in this embodiment of this application.

Optionally, when the polarization weight is used as the parameter formeasuring the reliabilities of the polarized channels, the reliabilitiesof the polarized channels may be calculated based on the followingequation:

${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4}j}}}},$

where 0≤i≤N−1, N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . .B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) isthe most significant bit, B₀ is the least significant bit, B_(j)∈{0, 1},and W_(i) is used to represent a reliability of an i^(th) polarizedchannel.

There are N polarized channels, and therefore N metrics are obtained bycalculating the reliabilities of the polarized channels. In other words,a metric set (which, for ease of description, is denoted by the setW_(N) in the following description) is obtained.

103. A maximum mother code sequence S_(N) is obtained by sortingsequence numbers of the polarized channels based on values of themetrics in W_(N).

Specifically, the N polarized channels are in one-to-one correspondencewith the N metrics, and each metric is used to represent a reliabilityof a corresponding polarized channel. The reliabilities of the Npolarized channels are sorted based on values of the N metrics in theset W_(N), and a sorting result is recorded by using the sequencenumbers of the polarized channels, to obtain the sequence S_(N). Inother words, the sequence S_(N) includes N sequence numbers, andordering of the N sequence numbers indicates ordering of thereliabilities of the N polarized channels.

It can be understood that the sorting in step 103 is performed dependingon a parameter selected for measuring the reliabilities of the polarizedchannels in step 102. It can be learned from the description in step 102that, in step 103, the ordering of the polarized channels may beoptionally determined based on the polarization weight, the errorprobability, the channel capacity, or another parameter that can measurethe reliabilities of the polarized channels. This is not limited in thisembodiment of this application.

It should be noted that, the sequence numbers of the polarized channelsmay be sorted in ascending order or descending order. This is notparticularly limited in this embodiment of this application.

In this embodiment of this application, the maximum mother code sequenceis stored in a coding device. Afterwards, when performing polar coding,the coding device may first obtain the maximum mother code sequence, andthen perform polar coding by using the maximum mother code sequence.Specifically, the coding device first reads, from the maximum mothercode sequence, a mother code sequence in a required length, thendetermines an information bit index set (which is also referred to as aninformation bit sequence number set) based on the read mother codesequence, and finally performs polar coding on to-be-coded bits by usingthe information bit index set.

104. For a polar code whose length is M (M≤N), a mother code length Lthat is most approximate to M is selected.

Specifically, two cases are differentiated when a mother code sequenceof the polar code whose length is M is determined.

Case 1

M=2^(m), where m is a positive integer.

The length of the polar code is the m^(th) power of 2. For example, M=4or 8. In this case, a value of the mother code length L of the polarcode is M.

Case 2

M≠2^(m), where m and M are positive integers.

The length of the polar code is not a value of the m^(th) power of 2.For example, M=5, 7, 11, or the like. In this case, a value of themother code length L of the polar code may be calculated based on aformula L=2^(┌log) ² ^(M┐). The symbol ┌ ┐ represents rounding up.

For example, when M=5, the value of L is L=2^(┌log) ² ^(5┐)=8. Foranother example, when M=9, the value of L is L=2^(┌log) ² ^(9┌)=2⁴=16.

105. A sequence S₁ is obtained by successively reading, from thesequence S_(N) based on index order, L sequence numbers that are lessthan L.

It should be understood that, when L<N, the sequence S₁ (an example ofthe first sequence) is a sub-sequence of the sequence S_(N). When L=N,the sequence S₁ is the sequence S_(N).

In step 104, if polar coding needs to be performed to obtain the polarcode whose length is M, the mother code length is L. In step 105, thesequence S₁ that is used as the mother code of the polar code is readfrom the sequence S_(N). Specifically, when the sequence S₁ is read,sequence numbers that are less than L need to be successively read basedon index order of the sequence S_(N).

With reference to FIG. 2, the following describes, by using an example,how the mother code sequence S₁ of the polar code is read.

FIG. 2 is a schematic diagram of reading a sequence in any code lengthfrom the maximum mother code sequence according to this embodiment ofthis application. As shown in FIG. 2, first, it is assumed that themaximum mother code length supported by the system is N=16.Correspondingly, there should be 16 sequence numbers stored in thesequence S_(N), and ordering of the 16 sequence numbers corresponds toordering of reliabilities of 16 polarized channels. It is assumed that asequence S_(N) obtained by sorting the reliabilities of the 16 polarizedchannels in ascending order is {0, 1, 2, 4, 8, 3, 5, 6, 9, 10, 12, 7,11, 13, 14, 15}. For example, L=8. A sequence S₁ obtained bysuccessively reading, from the sequence S_(N), sequence numbers that areless than L (that is, less than 8) is {0, 1, 2, 4, 3, 5, 6, 7}. Foranother example, L=4. A sequence S₁ obtained by successively reading,from the sequence S_(N), sequence numbers that are less than L (that is,less than 4) is {0, 1, 2, 3}.

106. Coded bits of the polar code whose length is M is obtainedaccording to a shortening method using the sequence S₁.

Specifically, the sequence S₁ is used as the mother code sequence, andthe polar code whose code length is M (that is, a target polar code) maybe obtained according to the shortening (English name: Shorten, one ofpolar code puncturing schemes) method.

It can be learned from the foregoing process that, in this embodiment ofthis application, the system needs to store only one sequence (that is,the maximum mother code sequence that can be supported by the system).During implementation, the mother code sequence in the required lengthis read from the maximum mother code sequence based on the mother codelength required by the polar code, so that storage overheads of thesystem can be reduced.

A specific maximum mother code sequence (denoted by a sequence #A in thefollowing description) when N=65536 is as follows.

The sequence #A={0 1 2 4 8 16 3 32 5 6 9 64 10 17 12 18 128 33 20 34 724 36 65 11 256 66 40 13 19 68 14 129 48 21 72 130 35 22 25 512 132 3780 26 38 257 67 136 41 28 258 96 69 42 15 144 49 260 70 44 73 131 50 231024 264 74 160 513 133 52 81 27 76 514 134 39 272 82 137 56 29 516 259192 97 138 84 43 30 145 288 98 261 71 520 140 45 88 146 51 262 100 102546 265 75 2048 161 528 148 53 320 1026 266 104 77 162 515 135 54 273 83152 57 1028 268 78 544 164 517 274 193 112 139 85 58 31 1032 518 384 289194 99 276 168 86 521 141 60 89 147 290 576 263 196 101 522 142 1040 47280 90 2049 176 529 149 292 102 321 1027 524 267 200 105 2050 92 163 530150 55 4096 322 1056 153 296 1029 106 269 79 640 545 2052 165 532 275208 113 154 324 59 1030 270 108 546 1033 166 519 385 304 195 114 2056277 169 87 536 156 61 1088 328 1034 548 386 291 224 577 278 197 170 116523 143 1041 62 281 91 2064 177 1036 768 578 388 293 198 103 552 336 1721042 525 282 201 120 2051 93 178 531 151 294 580 4097 323 1152 1057 526392 297 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6142164952 65305 64762 64438 65115 64925 63466 64735 64467 64878 65201 6343961427 63358 64441 65412 64251 65317 65222 65127 64993 64462 65360 6436765196 63473 64980 61422 64939 64885 65306 65225 63419 65144 64926 6483164764 64496 65117 57339 65202 63468 64469 64442 65175 65318 61429 6441564994 64253 65347 61375 63474 64967 65416 64886 65321 65226 63447 6513164941 65308 64751 64483 63421 65118 64984 63231 64889 64470 57341 6437565204 61430 64947 64444 65233 64254 65376 64473 64996 65179 65349 6532261433 63476 64942 65295 65228 63422 65133 64971 64890 64485 63451 5734265191 64863 65424 64431 65329 65234 65139 64949 64474 64759 64379 6520865350 61434 63999 63463 65181 65324 61407 65134 65000 65353 64486 6348064973 64892 65411 63453 65330 65249 64950 64489 65303 65236 65195 6514164979 64476 64381 65182 65087 61436 64953 64763 64439 65354 63467 6497464879 65440 63454 65250 63359 65413 64490 65332 65223 65142 65008 6446365361 64382 65197 64981 61423 64954 65307 65240 65145 64927 64765 6449765356 65203 63469 64443 65414 65319 65252 64995 64492 65362 65198 6347564982 65417 64887 65336 65227 65146 64956 65309 64766 64498 65119 6498563470 64471 65205 61431 64445 65472 64255 65377 64997 65418 65364 6532365256 63477 64943 65310 65229 63423 65148 64986 64891 64500 57343 6520665425 64446 65235 65378 64475 64998 65209 65351 61435 63478 65420 6532565230 65135 65001 65368 64487 63481 64988 64893 65426 65331 65264 6495164504 65237 65210 65380 64477 65183 65326 61437 65002 65355 63482 6497564894 65441 63455 65251 65428 64491 65333 65238 65143 65009 64478 6438365212 61438 64955 65241 65384 65004 65357 65442 63484 65415 65334 6525365010 64493 65363 65199 64983 65432 65337 65242 65147 64957 64767 6449965358 63471 65444 65254 65473 64494 65392 65012 65419 65365 65338 6525764958 65311 65244 65149 64987 64501 65207 64447 65474 65379 64999 6544865366 65258 63479 65421 65340 65231 65150 65016 65369 64502 64989 6542765265 64505 65476 65211 65381 65422 65327 65260 65003 65370 63483 6499064895 65456 65266 65429 64506 65239 65382 64479 65213 61439 65480 6538565005 65372 65443 63485 65430 65335 65268 65011 64508 65214 65433 6524365386 65006 65359 63486 65445 65255 65488 64495 65393 65013 65434 6533965272 64959 65245 65388 65446 65475 65394 65014 65449 65367 65259 6543665341 65246 65151 65017 64503 65504 65477 65450 65396 65423 65342 6526165018 65371 64991 65457 65267 64507 65478 65383 65452 65262 65481 6540065020 65373 65458 65431 65269 64509 65215 65482 65387 65007 65374 6348765460 65270 65489 64510 65435 65273 65484 65389 65447 65490 65395 6501565464 65274 65437 65247 65390 65505 65492 65451 65397 65438 65343 6527665019 65506 65479 65398 65453 65263 65496 65401 65021 65459 65508 6545465483 65402 65022 65375 65461 65271 64511 65512 65485 65404 65462 6549165465 65275 65486 65391 65520 65493 65466 65439 65277 65507 65494 6539965468 65278 65497 65509 65455 65498 65403 65023 65510 65513 65500 6540565463 65514 65487 65406 65521 65467 65516 65522 65495 65469 65279 6552465470 65499 65511 65528 65501 65515 65502 65407 65517 65523 65518 6552565471 65526 65529 65530 65503 65532 65519 65527 65531 65533 65534 65535}

In this embodiment of this application, the system stores a maximummother code sequence (assuming that a length is N), and a mother codesequence in any code length (assuming that the code length is M, whereM≤N) can be directly read from the maximum mother code sequence.

For example, when N=65536, any mother code sequence in code length of16, 32, 64, 128, . . . , or 32768 can be directly read from theforegoing sequence #A.

Optionally, in this embodiment of this application, the maximum mothercode sequence supported by the system may be stored in a compressedstorage mode, to further reduce the storage overheads of the system.

It can be learned from a polar code polarization process that, polarizedchannels

$\frac{N}{2},{\frac{N}{2} + 1},{\frac{N}{2} + 2},\ldots,{{N - 1} = {2^{n} - 1}}$

are a result of further polarization on polarized channels

$\left\{ {0,1,2,\ldots,{{\frac{N}{2} - 1} = {2^{n - 1} - 1}}} \right\},$

and the two groups of polarized channels have same inner ordering.During storage, an ordering sequence of

$\left\{ {0,1,2,\ldots,{{\frac{N}{2} - 1} = {2^{n - 1} - 1}}} \right\}$

may be stored, and for

$\left\{ {\frac{N}{2},{\frac{N}{2} + 1},{\frac{N}{2} + 2},\ldots,{{N - 1} = {2^{n} - 1}}} \right\},$

only a difference with corresponding locations in

$\left\{ {0,1,2,\ldots,{{\frac{N}{2} - 1} = {2^{n - 1} - 1}}} \right\}$

needs to be stored. The process is further broken down, so that anordering sequence of a shorter polar code may be stored. For example, asequence

$\left\{ {0,1,2,\ldots,{{\frac{N}{4} - 1} = {2^{n - 1} - 1}}} \right\}$

is used as a base sequence, and for other polarized channels, adifference with corresponding locations in the base sequence is stored.For example, a difference between

$\left\{ {\frac{N}{4},{\frac{N}{4} + 1},{\frac{N}{4} + 2},\ldots,{2^{n - 1} - 1}} \right\}$

and corresponding locations in the base sequence is

$\frac{N}{4}$

and a difference between

$\left\{ {\frac{N}{2},{\frac{N}{2} + 1},{\frac{N}{2} + 2},\ldots,{\frac{3N}{4} - 1}} \right\}$

and corresponding locations in the base sequence is

$\frac{N}{2}.$

It can be learned that the differences are all integer multiples of alength of the base sequence.

Therefore, in this embodiment of this application, when the maximummother code sequence supported by the system is stored, a base sequencemay be first determined from the maximum mother code sequence, and forsequence numbers of rest polarized channels, an offset difference (inother words, an offset multiplier) of the sequence numbers with respectto those in the base sequence is stored.

The following describes a compressed storage process according to thisembodiment of this application in detail.

First, a maximum mother code length that can be supported by a system isset to N (N=2^(n), where n is a nonnegative integer). In this case, itcan be learned from the foregoing polar coding method in this embodimentof this application that, the system needs to store only one maximummother code sequence (which, for ease of differentiation, is denoted bya sequence S_(N) in the following description). The sequence S_(N)includes sequence numbers (indexes from 0 to N−1) of N polarizedchannels, and ordering of the sequence numbers of the N polarizedchannels is obtained based on ordering of reliabilities of the polarizedchannels.

201. Based on a length of the maximum mother code sequence and a presetrule, a quantity S of bits that need to be used to represent a sequencenumber in the maximum mother code sequence is calculated.

In this embodiment of this application, the preset rule may beunderstood as an equation N=2^(2S−2) configured by the system.

Specifically, it can be learned from the foregoing equation that a valueof S may be calculated based on a formula

$S = {\left\lceil \frac{\log_{2}N}{2} \right\rceil + 1.}$

The symbol ┌ ┐ represents rounding up.

It should be understood that determining the value of S based on thisequation is only used as an example. In this embodiment of thisapplication, a manner how the value of S is determined is not limited.Any manner shall fall with the protection scope of this embodiment ofthis application, provided that a compressed storage mode is used sothat a quantity of bits used when the sequence numbers of the polarizedchannels are stored is less than a quantity of bits used during directstorage are.

202. A maximum sequence length that is represented by (S−1) bits iscalculated.

In this embodiment of this application, when the sequence number in themaximum mother code sequence is represented by S bits, one bit in the Sbits needs to be reserved as an indication bit used to indicate a typeof a sequence number stored at a current location. Therefore, the rest(S−1) bits in the S bits are used to indicate a value of the sequencenumber.

It should be understood that, the type of the sequence number hereinmeans that the sequence number stored at the current location belongs toa base sequence or an offset sequence.

It can be understood that, the maximum sequence length that isrepresented by the (S−1) bits is Q=2^(S−1).

203. A sequence obtained by successively sorting sequence numbers thatare less than Q and that are in the maximum mother code sequence, isdetermined as a base sequence.

It should be noted that, for ordering of the sequence numbers in thebase sequence, reference may be made to step 105.

204. Sequence numbers that are greater than or equal to the sequencenumber Q and that are in the maximum mother code sequence are groupedinto

$\left( \frac{N - Q}{Q} \right)$

offset sequences.

It should be understood that a quantity of sequence numbers included ineach offset sequence is the same as a quantity of the sequence numbersincluded in the base sequence, ordering of a plurality of sequencenumbers in each offset sequence is the same as ordering of the pluralityof sequence numbers in the maximum mother code sequence, and there is acommon offset multiplier for a plurality of sequence numbers in eachoffset sequence with respect to sequence numbers at correspondinglocations in the base sequence.

205. Each sequence number in the base sequence is stored by using Sbits, where the S bits include a first bit and a plurality of secondbits.

Specifically, the first bit is used to indicate that the sequence numberstored at the current location belongs to the base sequence, and theplurality of second bits are used to indicate a value of the sequencenumber stored at the current location.

206. A sequence number in the offset sequence is stored by using S bits,where the S bits include a third bit and a plurality of fourth bits.

Specifically, the third bit is used to indicate that the sequence numberstored at the current location belongs to an offset sequence, and theplurality of fourth bits are used to indicate an offset multiplier ofthe sequence number stored at the current location with respect to asequence number at a corresponding location in the base sequence. Ani^(th) sequence number in each offset sequence corresponds to an i^(th)sequence number in the base sequence.

For ease of understanding, the following uses N=16 (meaning that themaximum mother code length supported by the system is 16) as an exampleto describe the foregoing compressed storage process.

First, it is assumed that reliabilities of 16 polarized channels arecalculated and sorted in ascending order into a sequence S₁.

S ₁={0,1,2,4,8,3,5,6,9,10,12,7,11,13,14,15}

(1) Calculate a quantity S of bits that need to be used to represent asequence number in the maximum mother code sequence.

$S = {{\left\lceil \frac{\log_{2}16}{2} \right\rceil + 1} = 3.}$

(2) Calculate a maximum sequence length Q that is represented by (3−1)bits.

Q=2³⁻¹=4.

(3), Obtain a base sequence (which, for ease of description, is denotedby S₂ in the following description) by successively reading sequencenumbers that are less than Q from the sequence S₁.

It is easy to obtain that S₂={0, 1, 2, 3}.

(4) Calculate a quantity of offset sequences.

$\frac{N - Q}{Q} = {\frac{16 - 4}{4} = 3.}$

Specifically, sequence numbers of the rest polarized channels, otherthan the sequence numbers in the base sequence, are grouped into 3offset sequences. Each offset sequence includes 4 sequence numbers, andthe 4 sequence numbers in each offset sequence are in one-to-onecorrespondence with 4 sequence numbers in the base sequence. Inaddition, at corresponding locations, differences between sequencenumbers in the offset sequence and sequence numbers in the base sequenceare the same.

For example, the foregoing base sequence is S₂={0 1 2 3}, the sequencenumbers 4 to 15 are grouped in to 3 offset sequences, the sequencenumbers 4 to 7 belong to an offset sequence 1, the sequence numbers 8 to11 belong to an offset sequence 2, and sequence numbers 12 to 15 belongto an offset sequence 3.

It should be noted that, herein, that the sequence numbers 4 to 7 belongto the offset sequence 1 means that the sequence numbers 4, 5, 6, and 7belong to a same offset sequence but does not represent ordering of thesequence numbers 4, 5, 6, and 7. The similar applies to the offsetsequence 2 and the offset sequence 3, and details are not repeatedlydescribed herein.

It should be understood that a same offset difference (or offsetmultiplier) exists for sequence numbers that belong to one offsetsequence with respect to sequence numbers at corresponding locations inthe base sequence.

For example, the sequence numbers in the offset sequence 1 aresuccessively read from the sequence S₁, to obtain the offset sequence1={4 5 6 7}. Similarly, the offset sequence 2={8 9 10 11}, and theoffset sequence 3={12 13 14 15}. Therefore, it can be learned thatdifferences between a plurality of sequence numbers that belong to asame offset sequence and sequence numbers at corresponding locations inthe base sequence are the same. A difference between the offset sequence1 and the base sequence is 4 (an offset multiplier is 1), a differencebetween the offset sequence 2 and the base sequence is 8 (an offsetmultiplier is 2), and a difference between the offset sequence 3 and thebase sequence is 12 (an offset multiplier is 3).

(5) Store the maximum mother code sequence by using 3 bits. The sequencenumbers in the base sequence are stored directly, and for sequencenumbers in an offset sequence, an offset multiplier of the offsetsequence with respect to the base sequence is stored.

In this embodiment of this application, bits that are used to store eachsequence number include a first portion and a second portion. The firstportion is used to indicate whether a sequence number stored at acurrent location belongs to the base sequence or an offset sequence. Ifthe first portion indicates that the sequence number stored at thecurrent location belongs to the base sequence, the second portion isused to indicate a value of the sequence number stored at the currentlocation. If the first portion indicates that the sequence number storedat the current location belongs to an offset sequence, the secondportion is used to indicate an offset multiplier of the sequence numberstored at the current location with respect to that in the basesequence.

FIG. 3 is a storage form of a maximum mother code sequence in acompressed storage mode according to an embodiment of this application.As shown in FIG. 3, each sequence number is stored by using 3 bits. Themost significant 1 bit of each sequence number is used to indicatewhether a sequence number stored at a current location belongs to thebase sequence or an offset sequence. As an example but not a limitation,in this embodiment of this application, “0” is used to indicate that thesequence number stored at the current location belongs to the basesequence, and “1” is used to indicate that the sequence number stored atthe current location belongs to an offset sequence. Therefore, the firstbits of sequence numbers 1, 2, and 3 are 0s, and the first bits of therest sequence numbers are all Is.

Further, when the first bit indicates that the sequence number stored atthe current location belongs to the base sequence, the rest bits areused to indicate a value of the sequence number stored at the currentlocation. The last 2 bits are directly read as a sequence number of apolarized channel.

For example, the last 2 bits of the sequence numbers 0, 1, 2, and 3 are00, 01, 10, and 11, respectively. This means that the sequence numbersof polarized channels are 0, 1, 2, and 3, respectively.

When the first bit indicates that the sequence number stored at thecurrent location belongs to an offset sequence, the rest bits are usedto indicate an offset multiplier of the sequence number stored at thecurrent location with respect to that in the base sequence. Therefore,for a k^(th) sequence number whose most significant bit is 1 and whoseoffset multiplier is y, the value of the sequence number stored at thecurrent location is the k^(th) sequence number in the base sequence+(theoffset multiplier y×a length of the base sequence).

For example, when a sequence number 5 is stored, the most significantbit is stored as 1 and is used to indicate that the sequence number 5belongs to an offset sequence. The last 2 bits are necessarily stored as00 and are used to indicate that an offset multiplier of the sequencenumber (that is, the sequence number 5) stored at the current locationwith respect to that in the base sequence is 1. For another example,when a sequence number 9 is stored, the most significant bit is storedas 1, and the last 2 bits are stored as 01 and are used to indicate thatan offset multiplier is 2.

FIG. 4 is a schematic diagram of storing a maximum mother code sequencein a direct storage mode. As shown in FIG. 4, using N=16 as an example,if the direct storage mode is used, 4 bits are required to represent asequence number of each polarized channel. Sequence numbers 0 to 15 arerepresented by “0000” to “1111”, respectively.

FIG. 5 is another storage form of a maximum mother code sequence in acompressed storage mode according to an embodiment of this application.In FIG. 5, {0 1 2, . . . , 7} is selected as a base sequence, and anoffset difference of sequence numbers of the rest polarized channelswith respect to those in the base sequence is 8; therefore, an offsetmultiplier is 1. In this case, a length of a maximum sequence in thebase sequence is 8, and therefore 3 bits need to be used forrepresentation. The offset multiplier of the sequence numbers of therest polarized channels with respect to those in the base sequence is 1,and therefore only one bit needs to be used for representation. Toensure consistency with the quantity of bits that are used in the basesequence to represent a value of a sequence number, 3 bits are also usedwhen an offset multiplier of sequence numbers 8 to 15 is stored. Withone indication bit added, in this case, a quantity of bits used when themaximum mother code sequence is stored is 4.

It should be understood that, the lengths of the base sequences selectedin FIG. 5 and FIG. 3 are different. The quantity of bits used when themaximum mother code sequence is stored in FIG. 5 and that used in thedirect storage mode are both 4, and the quantity of bits is not reduced.In this case, the length of the base sequence may further be shortened,so as to enlarge a range of the offset multiplier. Therefore, when thelength of the base sequence is shortened to 4, the storage form of themaximum mother code sequence shown in FIG. 3 may be obtained.

Therefore, when the maximum code length sequence is stored in thecompressed storage mode, referring to the foregoing steps 201 to 206,the quantity of bits that are used can be minimal. Compared with theprior art, this can further reduce storage overheads of a system on thebasis that the storage overheads are reduced by storing only onesequence (that is, the maximum mother code sequence).

Table 6 shows a result of comparison between storage space occupied bydirect storage and that occupied by compressed storage.

TABLE 6 Maximum Direct Storage Compressed Storage Mother Code Quantityof Quantity of Base sequence Space Length (N) bits used bits used rangesaved 256 8 5 0~15  37.5% 512 9 6 0~31  33.3% 1024 10 6 0~31   40% 204811 7 0~63  36.4% 4096 12 7 0~63  41.7% 8192 13 8 0~127 38.5% 16384 14 80~127 42.9% 32768 15 9 0~255  40% 65536 16 9 0~255 43.75%  131072 17 100~511 41.2% 262144 18 10 0~511 44.4% 524288 19 11  0~1023 42.1% 104857620 11  0~1023  45%

It can be learned from Table 6 that, when the maximum mother codesequence is stored, the compressed storage mode can save 40% storagespace in comparison with the direct storage mode.

With reference to FIG. 1 to FIG. 5, the foregoing describes in detailthe polar coding method according to the embodiments of thisapplication. With reference to FIG. 6 and FIG. 7, the followingdescribes a polar coding apparatus and a polar coding device accordingto the embodiments of this application.

FIG. 6 is a schematic block diagram of a polar coding apparatus 500according to an embodiment of this application. As shown in FIG. 6, theapparatus 500 includes a processing unit 510 and a storage unit 520.

The processing unit 510 is configured to obtain reliability metrics of Npolarized channels, where N=2^(n), and n and N are positive integers.

The processing unit 510 is further configured to sort sequence numbersof the N polarized channels in ascending order or descending order ofthe metrics, to obtain a maximum mother code sequence. The maximummother code sequence is characterized in that, if a first sequence whosecode length is Z is read from the maximum mother code sequence,ordering, in the first sequence, of Z sequence numbers included in thefirst sequence is the same as ordering, in the maximum mother codesequence, of the Z sequence numbers, where Z=2^(z), z≤n, and z is apositive integer.

The storage unit 520 is configured to store the maximum mother codesequence.

The units in the apparatus 500 in this embodiment of this applicationand the foregoing operations or functions are intended to implementcorresponding procedures in the method 100. For brevity, details are notrepeatedly described herein.

Optionally, the apparatus 500 may be a chip or an integrated circuit.

In a possible design, when some or all functions of the apparatus 500are implemented by using software, the apparatus 500 may be providedwith a chip (or a chip system). The chip includes a memory and aprocessor. The memory is configured to store a computer program, and theprocessor is configured to execute the computer program stored in thememory. When the computer program is executed, the apparatus 500 canperform the polar coding method described in the foregoing embodiments.

The computer program may also be referred to as computer program code,program code, or the like.

In a possible design, when some or all functions of the apparatus 500are implemented by using hardware, the apparatus 500 may be anintegrated circuit. The integrated circuit may include:

an input interface circuit, configured to obtain to-be-coded bits;

a logic circuit, configured to read, from the maximum mother codesequence, a mother code sequence in a required length, to perform polarcoding on the to-be-coded bits; and

an output interface circuit, configured to output a sequence resultingfrom the polar coding.

In this embodiment of this application, only the maximum mother codesequence that can be supported by a system needs to be stored, andduring polar code coding, the mother code sequence in the lengthrequired to perform polar coding is read from the maximum mother codesequence, so that storage overheads of the system can be reduced.

FIG. 7 is a schematic structural diagram of a polar coding device 600according to an embodiment of this application. As shown in FIG. 7, thedevice 600 includes a memory 610, a processor 620, and a networkinterface 630. The memory 610, the processor 620, and the networkinterface 630 may be connected to each other by using a bus system 640.The memory 610 is configured to store an instruction, and the processor620 is configured to execute the instruction stored in the memory 620,to control the network interface 630 to send or receive a signal.

The processor 620 is configured to obtain reliability metrics of Npolarized channels, where N=2^(n), and n and N are positive integers.

The processor 620 is further configured to sort sequence numbers of theN polarized channels in ascending order or descending order of themetrics, to obtain a maximum mother code sequence. The maximum mothercode sequence is characterized in that, if a first sequence whose codelength is Z is read from the maximum mother code sequence, ordering, inthe first sequence, of Z sequence numbers included in the first sequenceis the same as ordering, in the maximum mother code sequence, of the Zsequence numbers, where Z=2^(z), z≤n, and z is a positive integer.

The memory 610 is configured to store the maximum mother code sequence.

The units in the polar coding device 600 in this embodiment of thisapplication and the foregoing operations or functions are intended toimplement corresponding procedures in the method 100. For brevity,details are not repeatedly described herein. In this embodiment of thisapplication, only the maximum mother code sequence that can be supportedby a system needs to be stored, and during polar code coding, a mothercode sequence in a length required to perform polar coding is read fromthe maximum mother code sequence, so that storage overheads of thesystem can be reduced.

It should be understood that, in this embodiment of this application,the processor 620 may be a central processing unit (central processingunit, CPU), or may be another general purpose processor, a digitalsignal processor (Digital Signal Processor, DSP), anapplication-specific integrated circuit (Application-Specific IntegratedCircuit, ASIC), a field programmable gate array (Field Programmable GateArray, FPGA) or another programmable logic device, a discrete gate ortransistor logic device, a discrete hardware component, or the like. Thegeneral purpose processor may be a microprocessor or the processor maybe any normal processor, or the like.

The memory 610 may include a read-only memory and a random accessmemory, and provides an instruction and data to the processor 620. Apart of the memory 610 may further include a non-volatile random accessmemory. For example, the memory 610 may further store device typeinformation.

In addition to a data bus, the bus system 640 may include a power bus, acontrol bus, a status signal bus, and the like. However, for cleardescription, various buses are marked as the bus system 640 in thefigure.

The network interface 630 may be a wired interface, such as a fiberdistributed data interface (Fiber Distributed Data Interface, FDDI) or agigabit Ethernet (Gigabit Ethernet, GE) interface. The network interface630 may alternatively be a wireless interface.

During implementation, the steps of the foregoing methods may beimplemented by using an integrated logic circuit of hardware in theprocessor 620, or by using a software instruction. The steps of thepolar coding method disclosed with reference to the embodiments of thisapplication may be directly performed by a hardware processor, or may beperformed by using a combination of hardware in the processor and asoftware module. The software module may be in a random access memory, aflash memory, a read-only memory, a programmable read-only memory or anelectrical erasable programmable memory, a register, or another maturestorage medium in the art. The storage medium is located in the memory610, and the processor 620 reads information from the memory 610 andimplements, in combination with hardware of the processor 620, the stepsof the foregoing methods. To avoid repetition, no detailed descriptionis given herein again.

The units in the polar coding device 600 in this embodiment of thisapplication and the foregoing operations or functions are intended toimplement corresponding procedures in the method 100. For brevity,details are not repeatedly described herein.

In this embodiment of this application, only the maximum mother codesequence that can be supported by the system needs to be stored, andduring polar code coding, the mother code sequence in the lengthrequired to perform polar coding is read from the maximum mother codesequence, so that storage overheads of the system are reduced.

It should be understood that values of sequence numbers of the foregoingprocesses do not mean execution sequences in the embodiments of thisapplication. The execution sequences of the processes should bedetermined based on functions and internal logic of the processes, andshould not be construed as any limitation on the implementationprocesses of the embodiments of this application.

A person of ordinary skill in the art may be aware that the units andalgorithm steps in the examples described with reference to theembodiments disclosed in this specification may be implemented byelectronic hardware or a combination of computer software and electronichardware. Whether the functions are performed by hardware or softwaredepends on particular applications and design constraint conditions ofthe technical solutions. A person skilled in the art may use a differentmethod to implement the described functions for each particularapplication, but it should not be considered that the implementationgoes beyond the scope of this application.

It may be clearly understood by a person skilled in the art that, forthe purpose of convenient and brief description, for a detailed workingprocess of the foregoing system, apparatus, and unit, reference may bemade to a corresponding process in the foregoing method embodiments, anddetails are not repeatedly described herein.

In the several embodiments provided in this application, it should beunderstood that the disclosed system, apparatus, and method may beimplemented in other manners. For example, the described apparatusembodiments are merely examples. For example, the unit division ismerely logical function division and may be other division in actualimplementation. For example, a plurality of units or components may becombined or integrated into another system, or some features may beignored or not performed. In addition, the displayed or discussed mutualcouplings or direct couplings or communication connections may beindirect couplings or communication connections through some interfaces,apparatuses, or units, and may be in electronic, mechanical, or otherforms.

The units described as separate parts may or may not be physicallyseparate. Parts displayed as units may or may not be physical units, andmay be located in one location or distributed on a plurality of networkunits. Some or all of the units may be selected depending on actualrequirements to achieve the objectives of the solutions of theembodiments.

In addition, functional units in the embodiments of this application maybe integrated into one processing unit, or each of the units may existalone physically, or two or more units are integrated into one unit.

When implemented in the form of a software functional unit and sold orused as an independent product, the functions may be stored in acomputer readable storage medium. Based on such an understanding, thetechnical solutions of this application essentially, or the partcontributing to the prior art, or some of the technical solutions may beimplemented in a form of a software product. The computer softwareproduct is stored in a storage medium, and includes several instructionsfor instructing a computer device (which may be a personal computer, aserver, a network device, or the like) to perform all or some of thesteps of the methods described in the embodiments of this application.The foregoing storage medium includes: any medium that can store programcode, such as a USB flash drive, a removable hard disk, a read-onlymemory (Read-Only Memory, ROM), a random access memory (Random AccessMemory, RAM), a magnetic disk, or an optical disc.

The foregoing descriptions are merely specific implementations of thisapplication, but are not intended to limit the protection scope of thisapplication. Any variation or replacement readily figured out by aperson skilled in the art within the technical scope disclosed in thisapplication shall fall within the protection scope of this application.Therefore, the protection scope of this application shall be subject tothe protection scope of the claims.

1. A method, comprising: obtaining, by a communications apparatus, aplurality of bits to be coded; determining, by the communicationsapparatus, a second mother code sequence for coding the plurality ofbits into a target polar code, the second mother code sequence is one ofa plurality of first mother code sequences, wherein each of the firstmother code sequences comprises at least a sub-sequence of a maximummother code sequence, wherein the maximum mother code sequence comprisesN sequence numbers corresponding to N polarized channels and the Nsequence numbers are sorted according to arranging reliabilities of theN polarized channels in an ascending order, each of the first mothercode sequences comprises Z sequence numbers corresponding to Z polarizedchannels and the Z sequence numbers are sorted according to arrangingreliabilities of the Z polarized channels in an ascending order same asthey are in the maximum mother code sequence, wherein Z is less than orequal to N, and Z and N are an integer power of 2; and performing, bythe communications apparatus, polar coding on the plurality of bitsbased on the second mother code sequence to generate a coded sequence;outputting, by the communications apparatus, the coded sequence.
 2. Themethod according claim 1, wherein values of each of the plurality offirst mother code sequences are less than Z.
 3. The method accordingclaim 1, wherein Z is larger than or equal to
 16. 4. The methodaccording claim 1, wherein the maximum mother code sequence ispre-stored in a memory.
 5. The method according to claim 1, wherein Nequals
 1024. 6. The method according to claim 1, wherein the methodfurther comprises: obtaining a reliability of an i^(th) polarizedchannel of the N polarized channels according to the following equation:${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4} \cdot j}}}},{0 \leq i \leq {N - 1}},$where N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀,B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is amost significant bit, B₀ is a least significant bit, and B_(j)∈{0,1}. 7.A communications apparatus, comprising: a memory storing instructions;at least one processor coupled to the memory for executing theinstructions to perform operations comprising: obtaining a plurality ofbits to be coded; determining a second mother code sequence for codingthe plurality of bits into a target polar code, the second mother codesequence is one of a plurality of first mother code sequences, whereineach of the first mother code sequences comprises at least asub-sequence of a maximum mother code sequence, wherein the maximummother code sequence comprises N sequence numbers corresponding to Npolarized channels and the N sequence numbers are sorted according toarranging reliabilities of the N polarized channels in an ascendingorder, each of the first mother code sequences comprises Z sequencenumbers corresponding to Z polarized channels and the Z sequence numbersare sorted according to arranging reliabilities of the Z polarizedchannels in an ascending order same as they are in the maximum mothercode sequence, wherein Z is less than or equal to N, and Z and N are aninteger power of 2; and performing polar coding on the plurality of bitsbased on the second mother code sequence to generate a coded sequence;outputting the coded sequence.
 8. The communications apparatus accordingclaim 7, wherein values of each of the plurality of first mother codesequences are less than Z.
 9. The communications apparatus accordingclaim 7, wherein Z is larger than or equal to
 16. 10. The communicationsapparatus according claim 7, wherein the maximum mother code sequence ispre-stored.
 11. The communications apparatus according claim 7, whereinN equals
 1024. 12. The communications apparatus according claim 7,wherein a reliability of an i^(th) polarized channel is obtainedaccording to the following equation:${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4} \cdot j}}}},{0 \leq i \leq {N - 1}},$where N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀,B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is amost significant bit, B₀ is a least significant bit, and B_(j)∈{0,1}.13. The communications apparatus according claim 7, wherein thecommunications apparatus is a base station or a terminal device.
 14. Anon-transitory, computer-readable medium storing one or moreinstructions executable by at least one processor to perform operationscomprising: obtain a plurality of bits to be coded; determine a secondmother code sequence for coding the plurality of bits into a targetpolar code, the second mother code sequence is one of a plurality offirst mother code sequences, wherein each of the first mother codesequences comprises at least a sub-sequence of a maximum mother codesequence, wherein the maximum mother code sequence comprises N sequencenumbers corresponding to N polarized channels and the N sequence numbersare sorted according to arranging reliabilities of the N polarizedchannels in an ascending order, each of the first mother code sequencescomprises Z sequence numbers corresponding to Z polarized channels andthe Z sequence numbers are sorted according to arranging reliabilitiesof the Z polarized channels in an ascending order same as they are inthe maximum mother code sequence, wherein Z is less than or equal to N,and Z and N are an integer power of 2; and perform polar coding on theplurality of bits based on the second mother code sequence to generate acoded sequence; output the coded sequence.
 15. The non-transitory,computer readable medium according claim 14, wherein values of each ofthe plurality of first mother code sequences are less than Z.
 16. Thenon-transitory, computer readable medium according claim 14, wherein Zis larger than or equal to
 16. 17. The non-transitory, computer readablemedium according claim 14, wherein the maximum mother code sequence ispre-stored.
 18. The non-transitory, computer readable medium accordingto claim 14, wherein N equals
 1024. 19. The non-transitory, computerreadable medium according to claim 14, wherein a reliability of ani^(th) polarized channel is obtained according to the followingequation:${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4} \cdot j}}}},{0 \leq i \leq {N - 1}},$where N=2^(n), n is a positive integer, i=B_(n−1) B_(n-2) . . . B₀,B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is amost significant bit, B₀ is a least significant bit, and B_(j)∈{0,1}.